λ
Sigma Notebook

3,630,864

24 × 3 × 67 × 1129
Abundant Even Composite

3,630,864 is even and not a perfect square. Its factorization is 2^4 × 3 × 67 × 1129 and its 40 divisors sum to 9,528,160.

Prime Factor Structure

Factorization String 2^4 × 3 × 67 × 1129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,528,160
Proper Divisor Sum 5,897,296
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3630859 ← → #3630883

Radix Representation

Decimal 3630864
Binary 1101110110011100010000 (22 bits)
Octal 0o15663420
Hexadecimal 0x376710

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1,072 1,129 1,608 2,258 3,216 3,387 4,516 6,774 9,032 13,548 18,064 27,096 54,192 75,643 151,286 226,929 302,572 453,858 605,144 907,716 1,210,288 1,815,432 3,630,864

Collatz Trajectory (66 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,630,864 1,815,432 907,716 453,858 226,929 680,788 340,394 170,197 510,592 255,296 127,648 63,824 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

More profiles

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